exam Maths Puzzle Numerical Ability

Determine wether the lines through the pairs of points are parallel,perpendiular, or neither.

12x+4y = 16
27x+9y = 40

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exam Other Question

this is trig identities, if you could please help me prove the following identity true

sin2x / 1-cos2x = 2csc2x-tan


i hope this reads clearly

the left side of the equation is sin2x over 1-cos2x
Compute the dimension of span {v1,v2,v3} where

v1= 1 v2= 2 v3= 3
4 5 6
7 8 9